Aharonov-Bohm effect in phase shifts

D.-H. Lin

doi:10.1209/epl/i2002-00643-1

All issues

Volume 58 / No 3 (May 2002)

Europhys. Lett., 58 3 (2002) 335-341

Abstract

Issue		Europhys. Lett. Volume 58, Number 3, May 2002


Page(s)		335 - 341
Section		General
DOI		https://doi.org/10.1209/epl/i2002-00643-1
Published online		01 August 2002

Europhys. Lett., 58 (3), pp. 335-341 (2002)

Aharonov-Bohm effect in phase shifts

D.-H. Lin

Institute of Physics, National Chiao Tung University - Hsinchu, Taiwan, ROC

Corresponding author: dhlin@cc.nctu.edu.tw

Received: 7 September 2001
Accepted: 13 February 2002

Abstract

We discuss the influence of the Aharonov-Bohm effect on phase shifts. The general integral representation of phase shifts for short-range potentials with an Aharonov-Bohm flux at the origin is given. The interesting result is that the phase shifts $\delta_{\gamma}$ will become $(n+1/2)\pi$ ( $n=0,1,2,\ldots)$ as long as the flux is adjusted at the values $\Phi=(n+1/2)\Phi_0$ , where $\Phi_0=(2\pi\hbar c/e)$ is the fundamental flux quantum. According to the Levison theorem, it implies that new bound states will appear at these values. This phenomenon may be useful in controlling the number of bound states in quantum well as well as the spectra of light emission.

PACS: 03.65.Ta – Foundations of quantum mechanics; measurement theory

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